paper

The scaling limit of loop-erased random walk in three dimensions

arXiv:math/0508344

Abstract

We show that the scaling limit exists and is invariant to dilations and rotations. We give some tools that might be useful to show universality.

97 pages, 6 figures. Code used for creation of the LERW picture is included. New version corrects an error in the formulation of Schramm's question (and a few other tidbits)

The scaling limit of loop-erased random walk in three dimensions · wovepaper